TSTP Solution File: KLE092+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE092+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:15:46 EDT 2023
% Result : Theorem 15.71s 2.40s
% Output : CNFRefutation 16.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 111 ( 111 unt; 0 def)
% Number of atoms : 111 ( 110 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 147 (; 146 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : addition(A,zero) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
! [X0] : domain(coantidomain(X0)) = coantidomain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ! [X0] : domain(coantidomain(X0)) = coantidomain(X0),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f30,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f31,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f38,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f39,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f40,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f41,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f42,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f43,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f44,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f45,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f46,plain,
? [X0] : domain(coantidomain(X0)) != coantidomain(X0),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f47,plain,
domain(coantidomain(sk0_0)) != coantidomain(sk0_0),
inference(skolemization,[status(esa)],[f46]) ).
fof(f48,plain,
domain(coantidomain(sk0_0)) != coantidomain(sk0_0),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0] : domain(antidomain(X0)) = antidomain(domain(X0)),
inference(paramodulation,[status(thm)],[f41,f41]) ).
fof(f52,plain,
! [X0] : addition(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f77,plain,
! [X0,X1,X2] : addition(coantidomain(multiplication(X0,X1)),addition(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),X2)) = addition(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),X2),
inference(paramodulation,[status(thm)],[f43,f24]) ).
fof(f85,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f26,f24]) ).
fof(f131,plain,
antidomain(one) = zero,
inference(paramodulation,[status(thm)],[f28,f38]) ).
fof(f132,plain,
! [X0] : multiplication(domain(X0),antidomain(X0)) = zero,
inference(paramodulation,[status(thm)],[f41,f38]) ).
fof(f138,plain,
domain(one) = antidomain(zero),
inference(paramodulation,[status(thm)],[f131,f41]) ).
fof(f166,plain,
! [X0,X1,X2] : addition(coantidomain(multiplication(X0,X1)),addition(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),X2)) = addition(coantidomain(multiplication(codomain(X0),X1)),X2),
inference(backward_demodulation,[status(thm)],[f45,f77]) ).
fof(f167,plain,
! [X0,X1,X2] : addition(coantidomain(multiplication(X0,X1)),addition(coantidomain(multiplication(codomain(X0),X1)),X2)) = addition(coantidomain(multiplication(codomain(X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f45,f166]) ).
fof(f227,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f28,f30]) ).
fof(f234,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(paramodulation,[status(thm)],[f38,f30]) ).
fof(f235,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[status(thm)],[f25,f234]) ).
fof(f261,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = addition(zero,multiplication(X1,antidomain(X0))),
inference(paramodulation,[status(thm)],[f132,f31]) ).
fof(f262,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = multiplication(X1,antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f52,f261]) ).
fof(f263,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(paramodulation,[status(thm)],[f38,f31]) ).
fof(f264,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = multiplication(X1,X0),
inference(forward_demodulation,[status(thm)],[f52,f263]) ).
fof(f276,plain,
! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = addition(multiplication(X0,antidomain(X1)),zero),
inference(paramodulation,[status(thm)],[f132,f31]) ).
fof(f277,plain,
! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = multiplication(X0,antidomain(X1)),
inference(forward_demodulation,[status(thm)],[f25,f276]) ).
fof(f1285,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f23,f85]) ).
fof(f1483,plain,
! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(forward_demodulation,[status(thm)],[f23,f40]) ).
fof(f1484,plain,
! [X0] : addition(antidomain(X0),domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f41,f1483]) ).
fof(f1485,plain,
addition(zero,domain(one)) = one,
inference(paramodulation,[status(thm)],[f131,f1484]) ).
fof(f1486,plain,
domain(one) = one,
inference(forward_demodulation,[status(thm)],[f52,f1485]) ).
fof(f1487,plain,
antidomain(zero) = one,
inference(forward_demodulation,[status(thm)],[f138,f1486]) ).
fof(f1488,plain,
! [X0] : addition(domain(X0),domain(antidomain(X0))) = one,
inference(paramodulation,[status(thm)],[f41,f1484]) ).
fof(f1489,plain,
! [X0] : addition(domain(X0),antidomain(domain(X0))) = one,
inference(forward_demodulation,[status(thm)],[f49,f1488]) ).
fof(f1502,plain,
! [X0] : addition(domain(X0),one) = addition(domain(X0),antidomain(X0)),
inference(paramodulation,[status(thm)],[f1484,f1285]) ).
fof(f1503,plain,
! [X0] : addition(one,domain(X0)) = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f23,f1502]) ).
fof(f1504,plain,
! [X0] : addition(one,domain(X0)) = addition(antidomain(X0),domain(X0)),
inference(forward_demodulation,[status(thm)],[f23,f1503]) ).
fof(f1505,plain,
! [X0] : addition(one,domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f1484,f1504]) ).
fof(f1506,plain,
! [X0] : addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)),
inference(paramodulation,[status(thm)],[f1484,f85]) ).
fof(f1507,plain,
! [X0] : addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)),
inference(forward_demodulation,[status(thm)],[f23,f1506]) ).
fof(f1508,plain,
! [X0] : addition(one,antidomain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f1484,f1507]) ).
fof(f1629,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[status(thm)],[f41,f39]) ).
fof(f1630,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f41,f1629]) ).
fof(f1674,plain,
! [X0] : addition(antidomain(zero),antidomain(multiplication(X0,domain(coantidomain(X0))))) = antidomain(multiplication(X0,domain(coantidomain(X0)))),
inference(paramodulation,[status(thm)],[f42,f1630]) ).
fof(f1675,plain,
! [X0] : addition(one,antidomain(multiplication(X0,domain(coantidomain(X0))))) = antidomain(multiplication(X0,domain(coantidomain(X0)))),
inference(forward_demodulation,[status(thm)],[f1487,f1674]) ).
fof(f1733,plain,
! [X0] : addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(forward_demodulation,[status(thm)],[f23,f44]) ).
fof(f1734,plain,
! [X0] : addition(coantidomain(X0),codomain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f45,f1733]) ).
fof(f1752,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),one) = addition(coantidomain(multiplication(codomain(X0),X1)),codomain(multiplication(codomain(X0),X1))),
inference(paramodulation,[status(thm)],[f1734,f167]) ).
fof(f1753,plain,
! [X0,X1] : addition(one,coantidomain(multiplication(X0,X1))) = addition(coantidomain(multiplication(codomain(X0),X1)),codomain(multiplication(codomain(X0),X1))),
inference(forward_demodulation,[status(thm)],[f23,f1752]) ).
fof(f1754,plain,
! [X0,X1] : addition(one,coantidomain(multiplication(X0,X1))) = one,
inference(forward_demodulation,[status(thm)],[f1734,f1753]) ).
fof(f1764,plain,
! [X0,X1] : addition(coantidomain(X0),addition(codomain(X0),X1)) = addition(one,X1),
inference(paramodulation,[status(thm)],[f1734,f24]) ).
fof(f2035,plain,
! [X0] : multiplication(one,antidomain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(paramodulation,[status(thm)],[f1489,f262]) ).
fof(f2036,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f29,f2035]) ).
fof(f2072,plain,
! [X0] : addition(one,coantidomain(X0)) = one,
inference(paramodulation,[status(thm)],[f29,f1754]) ).
fof(f2084,plain,
! [X0] : addition(one,codomain(X0)) = one,
inference(paramodulation,[status(thm)],[f45,f2072]) ).
fof(f2967,plain,
! [X0] : one = antidomain(multiplication(X0,domain(coantidomain(X0)))),
inference(forward_demodulation,[status(thm)],[f1508,f1675]) ).
fof(f3030,plain,
! [X0] : multiplication(one,multiplication(X0,domain(coantidomain(X0)))) = zero,
inference(paramodulation,[status(thm)],[f2967,f38]) ).
fof(f3031,plain,
! [X0] : multiplication(X0,domain(coantidomain(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f29,f3030]) ).
fof(f3204,plain,
! [X0,X1] : multiplication(X0,addition(X1,domain(coantidomain(X0)))) = addition(multiplication(X0,X1),zero),
inference(paramodulation,[status(thm)],[f3031,f30]) ).
fof(f3205,plain,
! [X0,X1] : multiplication(X0,addition(X1,domain(coantidomain(X0)))) = multiplication(X0,X1),
inference(forward_demodulation,[status(thm)],[f25,f3204]) ).
fof(f5315,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(paramodulation,[status(thm)],[f1484,f264]) ).
fof(f5316,plain,
! [X0] : X0 = multiplication(domain(X0),X0),
inference(forward_demodulation,[status(thm)],[f29,f5315]) ).
fof(f12425,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,codomain(X1))),
inference(paramodulation,[status(thm)],[f2084,f227]) ).
fof(f12426,plain,
! [X0,X1] : X0 = addition(X0,multiplication(X0,codomain(X1))),
inference(forward_demodulation,[status(thm)],[f28,f12425]) ).
fof(f12757,plain,
! [X0] : multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(paramodulation,[status(thm)],[f1484,f235]) ).
fof(f12758,plain,
! [X0] : antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f28,f12757]) ).
fof(f12759,plain,
! [X0] : antidomain(domain(X0)) = antidomain(X0),
inference(forward_demodulation,[status(thm)],[f2036,f12758]) ).
fof(f12850,plain,
! [X0] : domain(antidomain(X0)) = antidomain(X0),
inference(backward_demodulation,[status(thm)],[f12759,f49]) ).
fof(f12988,plain,
! [X0] : domain(codomain(X0)) = addition(domain(codomain(X0)),codomain(X0)),
inference(paramodulation,[status(thm)],[f5316,f12426]) ).
fof(f12989,plain,
! [X0] : domain(codomain(X0)) = addition(codomain(X0),domain(codomain(X0))),
inference(forward_demodulation,[status(thm)],[f23,f12988]) ).
fof(f29157,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,antidomain(coantidomain(X0))),
inference(paramodulation,[status(thm)],[f1484,f3205]) ).
fof(f29158,plain,
! [X0] : X0 = multiplication(X0,antidomain(coantidomain(X0))),
inference(forward_demodulation,[status(thm)],[f28,f29157]) ).
fof(f29345,plain,
! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
inference(paramodulation,[status(thm)],[f45,f29158]) ).
fof(f43573,plain,
! [X0] : addition(coantidomain(X0),domain(codomain(X0))) = addition(one,domain(codomain(X0))),
inference(paramodulation,[status(thm)],[f12989,f1764]) ).
fof(f43574,plain,
! [X0] : addition(coantidomain(X0),domain(codomain(X0))) = one,
inference(forward_demodulation,[status(thm)],[f1505,f43573]) ).
fof(f43681,plain,
! [X0] : multiplication(one,antidomain(codomain(X0))) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
inference(paramodulation,[status(thm)],[f43574,f277]) ).
fof(f43682,plain,
! [X0] : antidomain(codomain(X0)) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
inference(forward_demodulation,[status(thm)],[f29,f43681]) ).
fof(f43683,plain,
! [X0] : antidomain(codomain(X0)) = coantidomain(X0),
inference(forward_demodulation,[status(thm)],[f29345,f43682]) ).
fof(f43809,plain,
! [X0] : domain(coantidomain(X0)) = antidomain(codomain(X0)),
inference(paramodulation,[status(thm)],[f43683,f12850]) ).
fof(f43810,plain,
! [X0] : domain(coantidomain(X0)) = coantidomain(X0),
inference(forward_demodulation,[status(thm)],[f43683,f43809]) ).
fof(f43976,plain,
coantidomain(sk0_0) != coantidomain(sk0_0),
inference(backward_demodulation,[status(thm)],[f43810,f48]) ).
fof(f43977,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f43976]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : KLE092+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 12:02:22 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 15.71/2.40 % Refutation found
% 15.71/2.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.71/2.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.53/2.50 % Elapsed time: 2.171374 seconds
% 16.53/2.50 % CPU time: 16.604343 seconds
% 16.53/2.50 % Memory used: 266.460 MB
%------------------------------------------------------------------------------